Question: Q1: Given the following linear program: Max Z = 1.5x + 3y (1) Subject to: x+y53 2x + 7y s 14 x,y20 (2) I a.

Q1: Given the following linear program: Max Z = 1.5x + 3y (1) Subject to: x+y53 2x + 7y s 14 x,y20 (2) I a. Find the dual price of constraint (1) and its feasibility range. (3 Marks) b. Determine the optimality range for, where c; and are the coefficients of x and y in the objective function, repectively, that will keep the optimum unchanged. (2 Marks)

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